Mathematical Personal Website
Research interest
My research interest lies in Number Theory. Currently I'm working on moments of GL(2) L-functions of prescribed p-adic information in level aspect. In particular, I admire Weyl-type bounds for L-functions. I also keep paying attention on the interaction between prime numbers and GL(n) L-functions, especially with an eye on the prime values of nonlinear integer sequences.
Publication
1. The fourth moment of L-functions of specified local representations and the Weyl bound in cubic prime power level. (in preparation)Â
Abstract: We consider the fourth moment of a small family of GL(2) automorphic L-functions of cubic prime power level. The family is constructed so that at the place p, the prime dividing the level, the local representation is supercuspidal. We highlight that the dual side turns out involving a fourth moment of L-functions with principal series local representation at p. Besides, as a corollary, the Weyl bound of GL(2) automorphic L-functions in cubic prime power level is achieved. A crucial tool is the refined Petersson-Bruggeman-Kuznetsov (PBK) formula developed by Hu-Petrow-Young around 2025.
Talk
38th Automorphic Forms Workshop (website link), Kansas State University, May 21, 2026.
Title: The fourth moment of GL(2) automorphic L-functions of specified local representations in the cubic prime power level
Graduate Student Number Theory Seminar, Rutgers University, Spring 2025
Title: From Equidistribution to the Weyl Bound (link for Abstract)
Conference attended
Recent Perspectives on Moments of L-Functions (website link), The University of Texas at Dallas, 2026
38th Automorphic Forms Workshop (website link), Kansas State University, 2026
Aarhus Automorphic Forms Conference (website link), Aarhus University, Denmark, 2025
SCHOLAR II - A Scientific Celebration Highlighting Open Lines of Arithmetic Research (website link), The Fields Institute, 2024
International Conference on L-functions and Automorphic Forms (website link), Vanderbilt University, 2024
1st Analytic Number Theory & Automorphic Forms Conference in Patras (website link), University of Patras, Greece, 2023
